I just finished my last physics class (e&m) and I was pretty intrigued by capacitors and their ability to store charge. I decided to take an electronics class next quarter so I bought a few things including breadboard, capacitor, resistor, diodes, motors, and so on. Now...I have a 50V 1000uF capacitor. I filled(?) it with 24V (the motor I have is 3-24V range) and connected it to my motor, the motor spins for like 1/10th of a second. Then the capacitor goes down to like ~1V. I did a little research on capacitor tanks, and even then, from what people write, capacitors don't last longer then 10 seconds. What gives? Why even use capacitors to store charge. Only useful application I can see is to implement them into circuits with a transformer to make the current a little less choppy. I had my hopes set out on harnessing solar energy using photovoltaics and storing the energy in a capacitor, but now that seems like it isn't gonna work. Are rechargeable batteries a better option to store charge? If someone can give me a reason on why capacitors are useful for storing charge that would be appreciated, along with answering the above. Thank you for your help (sorry for the wall of text).